BTGmoderatorDC wrote:Is z an even integer?
(1) z/2 is an even integer.
(2) 3z is an even integer.
Statement 1:
Make a list of options for z/2:
z/2 = 0, 2, 4, 6, 8...
To get a list of options for z, multiply every value by 2:
z = 0, 4, 8, 12, 16...
In every case, z is an even integer, so the answer to the question stem is YES.
SUFFICIENT.
Statement 2:
Make a list of options for 3z:
3z = 0, 2, 4, 6, 8...
To get a list of options for z, divide every value by 3:
z = 0, 2/3, 4/3, 2, 8/3...
If z=0, then z is an even integer, so the answer to the question stem is YES.
If z=2/3, then z is NOT an even integer, so the answer to the question stem is NO.
INSUFFICIENT.
The correct answer is
A.
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